Trigonometry Examples

$\sin^{2} (θ) \cot (θ) \sec (θ)$

Step 1

Rewrite $\cot (θ)$ in terms of sines and cosines.

$\sin^{2} (θ) \frac{\cos (θ)}{\sin (θ)} \sec (θ)$

Step 2

Cancel the common factor of $\sin (θ)$ .

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Step 2.1

Factor $\sin (θ)$ out of $\sin^{2} (θ)$ .

$\sin (θ) \sin (θ) \frac{\cos (θ)}{\sin (θ)} \sec (θ)$

Step 2.2

Cancel the common factor.

$\sin (θ) \sin (θ) \frac{\cos (θ)}{\sin (θ)} \sec (θ)$

Step 2.3

Rewrite the expression.

$\sin (θ) \cos (θ) \sec (θ)$

Step 3

Rewrite $\sec (θ)$ in terms of sines and cosines.

$\sin (θ) \cos (θ) \frac{1}{\cos (θ)}$

Step 4

Cancel the common factor of $\cos (θ)$ .

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Step 4.1

Factor $\cos (θ)$ out of $\sin (θ) \cos (θ)$ .

$\cos (θ) \sin (θ) \frac{1}{\cos (θ)}$

Step 4.2

Cancel the common factor.

$\cos (θ) \sin (θ) \frac{1}{\cos (θ)}$

Step 4.3

Rewrite the expression.

$\sin (θ)$